32 citations · 44 across the 2 of their papers we have counts for
5 papers · 1 filter
Well-posed first-order reduction of the characteristic problem of the linearized Einstein equations
Simonetta Frittelli
A choice of first-order variables for the characteristic problem of the linearized Einstein equations is found which casts the system into manifestly well-posed form. The concept o…
Estimates for first-order homogeneous linear characteristic problems
Simonetta Frittelli
An algebraic criterion that is sufficient to establish the existence of certain a priori estimates for the solution of first-order homogeneous linear characteristic problems is der…
Estimates for the characteristic problem of the first-order reduction of the wave equation
Simonetta Frittelli
We calculate certain estimates for the solution of the characteristic problem of the wave equation reduced to first order, in terms of the free data prescribed on two transverse su…
Einstein boundary conditions for the Einstein equations in the conformal-traceless decomposition
Simonetta Frittelli, Roberto Gomez
In relation to the BSSN formulation of the Einstein equations, we write down the boundary conditions that result from the vanishing of the projection of the Einstein tensor normall…
Potential for ill-posedness in several 2nd-order formulations of the Einstein equations
Simonetta Frittelli
Second-order formulations of the 3+1 Einstein equations obtained by eliminating the extrinsic curvature in terms of the time derivative of the metric are examined with the aim of e…